This study will test the effectiveness of an investigational treatment for patients with ragweed-induced asthma, sometimes called fall seasonal asthma. The treatment being tested is a series of anti-ragweed shots. The purpose of the study is to determine whether a short series of injections with Amb a 1-immunostimulatory oligodeoxyribonucleotide conjugate (AIC) can cause a long-lasting reduction in the symptoms of asthma that are caused by fall hay fever allergies.